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Finding the Fourth Proportional to 277,718,154.20, 416,577,231.30 and 277,718,154.20

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Solution

The fourth proportional to 277,718,154.20, 416,577,231.30 and 277,718,154.20 is: 416,577,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,718,154.20 : 416,577,231.30 = 277,718,154.20 : x
  2. Step 2: Convert to fraction form
    277,718,154.20/416,577,231.30 = 277,718,154.20/x
  3. Step 3: Cross multiply
    277,718,154.20x = 416,577,231.30 × 277,718,154.20
  4. Step 4: Simplify right side
    277,718,154.20x = 115,691,059,758,382,464
  5. Step 5: Solve for x
    x = 115,691,059,758,382,464/277,718,154.20
  6. Step 6: Final answer
    x = 416,577,231.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.